Question

What is the exact value of sin 45° ? Enter your answer, as a simplified fraction, in the box.

Answer 1

Answer: The exact value of sin 45° is $\frac{\sqrt{2}}{2}$

Step-by-step explanation:

Since we have given that

$\sin 45^\circ$

We need to find the exact value of sin 45°.

From the trigonometric table,

$\sin 45^\circ=\frac{1}{\sqrt{2}}$

We need to write it as a simplified fraction,

So, for this, we will rationalize the denominator:

$\frac{1}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}\\\\=\frac{\sqrt{2}}{2}$

Hence, the exact value of sin 45° is $\frac{\sqrt{2}}{2}$

Answer 2

Radical 2/2
I attached the unit circle. Sin=y, so you can go to the unit circle, find 45 degrees, and the answer is the y-coordinate at 45 degrees.